Solitons and Quasielectrons in the Quantum Hall Matrix Model

Details Solitons and Quasielectrons in the Quantum Hall Matrix Model Solitons and Quasielectrons in the Quantum Hall Matrix Model

2004-06-29

arxiv.org/abs/cond-mat/0406716v1

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 9 figures

Scientific paper

10.1103/PhysRevB.72.205317

We show how to incorporate fractionally charged quasielectrons in the finite quantum Hall matrix model.The quasielectrons emerge as combinations of BPS solitons and quasiholes in a finite matrix version of the noncommutative $\phi^4$ theory coupled to a noncommutative Chern-Simons gauge field. We also discuss how to properly define the charge density in the classical matrix model, and calculate density profiles for droplets, quasiholes and quasielectrons.

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